3940609792000 has 864 divisors, whose sum is σ = 12162437763840. Its totient is φ = 1270421913600.

The previous prime is 3940609791961. The next prime is 3940609792037. The reversal of 3940609792000 is 2979060493.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3625215457 + ... + 3625216543.

It is an arithmetic number, because the mean of its divisors is an integer number (14076895560).

Almost surely, 2^{3940609792000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3940609792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6081218881920).

3940609792000 is an abundant number, since it is smaller than the sum of its proper divisors (8221827971840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3940609792000 is a wasteful number, since it uses less digits than its factorization.

3940609792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 49.

The spelling of 3940609792000 in words is "three trillion, nine hundred forty billion, six hundred nine million, seven hundred ninety-two thousand".